Determine the resultant R of the Four forces acting on the simple truss. The Fourth force is acting on the node where the 25 KN is at and is directed unward with a magnitude of 15 KN. Specify the points on the x- and y-aves through which R must pass. 30 20 kN 25 kN 5m 3 m 6m 3m 30 kN
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- For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m. 6 m H C F₁ Answers: 8 m F₂ Equation of line: y = x-axis: x = i -1.04 y-axis: y = i 1.37 B ·x M D 1.32 F₁ F₂ E E X+ 1.37 EFor the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 40 kN, F2 = 50 kN, F3 = 35 KN, F4 = 40 kN, and M = 100 kN-m. 6 m H G F₁ Answers: 8 m x-axis: x = i y-axis: y = i F₁ Equation of line: y = B M D -F₁ F₂ 3 3 X+ i 3A trailer has a triangular door ABC secured on the edge BC. If Q = (-2i + 5j + 14k) lb, determine the moment of Q about the BC axis. Please detail at the end the result of each number literal The "x" component of the position vector from B to A The magnitude of the position vector from B to A is equal to The "x" component of the unit vector of the BC axis has the value The result of evaluating the secondary diagonals of the determinant for the moment about the BC axis value The moment of the force about the BC axis
- 160 mm 2/89: Determine the resultant R of the three forces acting on the simple truss. Specify the points on the x- and y-axes through which R must pass. Ans. R=49.62 kN, x = 7.42 m, y=-23.4 m 30 20 kN 25 kN 5 m 3 m 6 m 3 m 30 kNY 2/91: The design specifications for the attachment at A for this beam depend on the magnitude and location of the applied loads. Represent the resultant of the three forces andUse the rectangular component method to solve the fol- lowing problems. Determine the magnitude R of the re- sultant of the forces and the angle 6, between the line of action of the resultant and the x-axis for F1 = 500 Ib F = 375 Ib 30 30 30For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 15 kN, F₂ = 15 kN, F3 = 25 kN, F4 = 45 kN, and M = 115 kN.m. A 6 m H F Answers: 8 m x-axis: x = i y-axis: y = i F₂ Equation of line: y = i B M D F. m m X + i m
- For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 10 kN, F₂ = 40 kN, F3 = 45 KN, F4 = 20 kN, and M = 120 kN-m. 6 m H (5 5 Answers: 8 m x-axis: x = i y-axis: y = i F₂ Equation of line: y = i B M D F₁ F₁ m m X+ i mUse the rectangular component method to solve the fol- lowing problems. Determine the magnitude R of the re- sultant of the forces and the angle 6, between the line of action of the resultant and the x-axis for F2 = 500 Ib F = 200 Ib 30 Fy- 400 IbFive forces are applied to the beam trolley as shown. Determine the y-coordinate of the point on the y-axis through which the stand- alone resultant R must pass if F = 6.8 kN and e = 32°. Point O is at the center of the l-beam. 4.4 kN 650 mm 65 mm 4.0 kN 320 mm 1.1 kN 1.5 kN F Answer: y = i mm
- The rigid pipe is subject to the following loads. Neglecting the weight of the pipe, determine the moment at O. SOLVE THE FF Vector component form of 50-lb force (ANSWER: 25.000i +0j -43.30k lb) Magnitude of the resultant force (ANSWER: 78.10 lb) Position vector of the 50-lb force from point O to its point of application on the pipe. (ANSWER: -15i -10j +12k inch) Moment at point O, in vector component form. (ANSWER: 1153.01i -829.52j +250.00k lb-in)1. Determine the magnitude and direction with respect to the +x axis on the reaction at A and at C. Note that the body is supported by pin at A and a roller at C. The body's weight is negligible. A 2.4 kN-m 400 40° 200 250- Dimensions in mm -300- B 3 kNUse the rectangular component method to solve the fol- lowing problems. Determine the magnitude R of the re- sultant of the forces and the angles 6, B, and 8, between the line of action of the resultant and the positive r-, y-, and z-coordinate axes for F2= 16 kN F1 - 10 kN Fy= 20 kN 35 26 60